150x^2=750x

Solution for 150x^2=750x equation:

150x^2=750x

We move all terms to the left:

150x^2-(750x)=0

a = 150; b = -750; c = 0;
Δ = b2-4ac
Δ = -7502-4·150·0
Δ = 562500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{562500}=750$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-750)-750}{2*150}=\frac{0}{300}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-750)+750}{2*150}=\frac{1500}{300}
=5
$